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Finding the Third Proportional to 204,032 and 441,944

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Solution

The third proportional to 204,032 and 441,944 is: 957,273.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,032 : 441,944 = 441,944 : x
  2. Step 2: Convert to fraction form
    204,032/441,944 = 441,944/x
  3. Step 3: Cross multiply
    204,032x = 441,944 × 441,944
  4. Step 4: Simplify right side
    204,032x = 195,314,499,136
  5. Step 5: Solve for x
    x = 195,314,499,136/204,032
  6. Step 6: Final answer
    x = 957,273.85

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.